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Finding the Fourth Proportional to 8,472.23, 11,690.70 and 4,694.45

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Solution

The fourth proportional to 8,472.23, 11,690.70 and 4,694.45 is: 6,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.23 : 11,690.70 = 4,694.45 : x
  2. Step 2: Convert to fraction form
    8,472.23/11,690.70 = 4,694.45/x
  3. Step 3: Cross multiply
    8,472.23x = 11,690.70 × 4,694.45
  4. Step 4: Simplify right side
    8,472.23x = 54,881,348.16
  5. Step 5: Solve for x
    x = 54,881,348.16/8,472.23
  6. Step 6: Final answer
    x = 6,477.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.